Final answer:
To find x in the equation y = (1/3)x + (11/15) when y = 6, substitute y = 6 and solve for x. The value of x is 267/15.
Step-by-step explanation:
To find the value of x in the equation y = (1/3)x + (11/15) when y = 6, we can substitute the value of y into the equation and solve for x.
First, we substitute y = 6 into the equation :
6 = (1/3)x + (11/15)
To isolate x, we can begin by subtracting (11/15) from both sides of the equation:
6 - (11/15) = (1/3)x
Combining like terms, we have:
89/15 = (1/3)x
To solve for x, we can multiply both sides of the equation by 3 to cancel out the fraction:
3 * (89/15) = 3 * (1/3)x
Simplifying, we get:
267/15 = x
So, when y = 6, x is equal to 267/15.